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One Penny Doubled Daily!




This two-day lesson plan uses the book One Grain of Rice, by Demi, to get third
graders excited about learning multiplication.


Subject      Math

Topic        Introduction to multiplication, Operations and Algebraic Thinking

Objectives   ODE Academic Content Standards:

             3.OA.1
             Interpret products of whole numbers, e.g., interpret 5x7 as the total
             number of objects in 5 groups of 7 objects each.

             3.OA.9
             Identify arithmetic patterns (including patterns in the addition table or
             multiplication table), and explain them using properties of operations.


Procedures   Day One:
             1. Begin by asking the class for ideas about what kinds of jobs they can
             do to earn extra money. Choose a job that can be done daily, like
             walking a dog. Next, ask if the class would rather receive $2.00 per day
             for their dog walking business or one penny per day, doubled every day
             for 30 days.

             2. Read One Grain of Rice to the class to illustrate how quickly doubling
             something repeatedly can result in a large product. Explain that a
             product is the result of multiplying two numbers.

             3. Again ask the class if they would rather receive $2.00 per day or one
             penny per day, doubled every day for 30 days. Explain that the job would
pay over $10 thousand dollars in pennies compared to just $60 dollars if
earning $2.00 per day. Access The MegaPenny Project and use the one
billion pennies page to show your students a graphical representation of
how much space one billion pennies would take up.

4. As homework, pass out the “Doubling in One Grain of Rice by Demi”
worksheet that can be accessed at Learn NC. Ask students to use
addition to find the products for each day on the chart and answer the
questions at the bottom of the page. Explain that they will add each
number to itself to find the product for the next day. Calculators are
allowed.

5. Inform the class that you will show them how to find the same answers
using multiplication during the next class. This will allow a transition into
explaining multiplication by two.

Day Two:
1. Have the students get their “Doubling in One Grain of Rice by Demi”
worksheet out before starting the discussion so that they can reference
their answers.

2. Introduce the concept of multiplying each product by 2 to produce the
same answers that adding the product to itself did. Explain that having
two groups of a certain number represents the same product as adding
one group to another identical group. Work through the Add and Multiply
worksheet together as a group.

3. Use physical manipulatives or the two-color counters at
eManipulatives with the class to reinforce visually the concept that
groups can be added or multiplied to produce a product. Starting with 12
counters, model that, like addition, groups can be combined in different
ways to result in the same product. Ask the students to come up with
ways to model 12 other than 2 groups of 6.

4. For homework, give each student the The Two Times Table
worksheet.

      This website provides additional links to virtual manipulatives and
       interactive math resources.

    The attached Pathfinder lists websites with activities that are
     appropriate for students. Some of the activities allow the student to
     select which multiples they would like to practice, others do not.
Evaluation   CATEGORY              4                3                2                 1

             Participation   Student was      Student was      Student          Student did
             and Attention   an engaged       an engaged       cooperated       not work
             during          partner,         partner but      with others,     effectively with
             Lesson          listening to     had trouble      but needed       others.
                             suggestions of   listening to     prompting to
                             others and       others and/or    stay on-task.
                             working          working
                             cooperatively    cooperatively
                             throughout
                             lesson.


             Worksheet       All problems   All but one of All but two of Several of the
             completion:     are completed. the problems   the problems   problems are
             “Doubling in                   are completed. are completed. not completed.
             One Grain of
             Rice”


             Use of        Student            Student          Student          Student rarely
             Manipulatives always listens     typically        sometimes        listens and
                           and follows        listens and      listens and      often "plays"
                           directions and     follows          follows          with the
                           only uses          directions and   directions and   manipulatives
                           manipulatives      uses             uses             instead of
                           as instructed.     manipulatives    manipulatives    using them as
                                              as instructed    appropriately    instructed.
                                              most of the      when
                                              time.            reminded.


             Worksheet       All problems   All but one of All but two of Several of the
             completion:     are completed. the problems   the problems   problems are
             “The Two                       are completed. are completed. not completed.
             Times Table”


Materials    Day One: A copy of One Grain of Rice by Demi, a computer with
             projector or smart board to display the MegaPenny Project website,
             copies of the “Doubling in One Grain of Rice by Demi” worksheet for
             each student, and calculators and pencils if the worksheet is to be done
             in class.

             Day Two: Physical manipulatives or a computer with a projector or smart
             board to model eManipulatives, the Add and Multiply worksheet, the two
             times table worksheet, and pencils.

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one penny doubled daily, multiplication lesson plan

  • 1. One Penny Doubled Daily! This two-day lesson plan uses the book One Grain of Rice, by Demi, to get third graders excited about learning multiplication. Subject Math Topic Introduction to multiplication, Operations and Algebraic Thinking Objectives ODE Academic Content Standards: 3.OA.1 Interpret products of whole numbers, e.g., interpret 5x7 as the total number of objects in 5 groups of 7 objects each. 3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. Procedures Day One: 1. Begin by asking the class for ideas about what kinds of jobs they can do to earn extra money. Choose a job that can be done daily, like walking a dog. Next, ask if the class would rather receive $2.00 per day for their dog walking business or one penny per day, doubled every day for 30 days. 2. Read One Grain of Rice to the class to illustrate how quickly doubling something repeatedly can result in a large product. Explain that a product is the result of multiplying two numbers. 3. Again ask the class if they would rather receive $2.00 per day or one penny per day, doubled every day for 30 days. Explain that the job would
  • 2. pay over $10 thousand dollars in pennies compared to just $60 dollars if earning $2.00 per day. Access The MegaPenny Project and use the one billion pennies page to show your students a graphical representation of how much space one billion pennies would take up. 4. As homework, pass out the “Doubling in One Grain of Rice by Demi” worksheet that can be accessed at Learn NC. Ask students to use addition to find the products for each day on the chart and answer the questions at the bottom of the page. Explain that they will add each number to itself to find the product for the next day. Calculators are allowed. 5. Inform the class that you will show them how to find the same answers using multiplication during the next class. This will allow a transition into explaining multiplication by two. Day Two: 1. Have the students get their “Doubling in One Grain of Rice by Demi” worksheet out before starting the discussion so that they can reference their answers. 2. Introduce the concept of multiplying each product by 2 to produce the same answers that adding the product to itself did. Explain that having two groups of a certain number represents the same product as adding one group to another identical group. Work through the Add and Multiply worksheet together as a group. 3. Use physical manipulatives or the two-color counters at eManipulatives with the class to reinforce visually the concept that groups can be added or multiplied to produce a product. Starting with 12 counters, model that, like addition, groups can be combined in different ways to result in the same product. Ask the students to come up with ways to model 12 other than 2 groups of 6. 4. For homework, give each student the The Two Times Table worksheet.  This website provides additional links to virtual manipulatives and interactive math resources.  The attached Pathfinder lists websites with activities that are appropriate for students. Some of the activities allow the student to select which multiples they would like to practice, others do not.
  • 3. Evaluation CATEGORY 4 3 2 1 Participation Student was Student was Student Student did and Attention an engaged an engaged cooperated not work during partner, partner but with others, effectively with Lesson listening to had trouble but needed others. suggestions of listening to prompting to others and others and/or stay on-task. working working cooperatively cooperatively throughout lesson. Worksheet All problems All but one of All but two of Several of the completion: are completed. the problems the problems problems are “Doubling in are completed. are completed. not completed. One Grain of Rice” Use of Student Student Student Student rarely Manipulatives always listens typically sometimes listens and and follows listens and listens and often "plays" directions and follows follows with the only uses directions and directions and manipulatives manipulatives uses uses instead of as instructed. manipulatives manipulatives using them as as instructed appropriately instructed. most of the when time. reminded. Worksheet All problems All but one of All but two of Several of the completion: are completed. the problems the problems problems are “The Two are completed. are completed. not completed. Times Table” Materials Day One: A copy of One Grain of Rice by Demi, a computer with projector or smart board to display the MegaPenny Project website, copies of the “Doubling in One Grain of Rice by Demi” worksheet for each student, and calculators and pencils if the worksheet is to be done in class. Day Two: Physical manipulatives or a computer with a projector or smart board to model eManipulatives, the Add and Multiply worksheet, the two times table worksheet, and pencils.